368282880 has 216 divisors, whose sum is σ = 1456570752. Its totient is φ = 84160512.

The previous prime is 368282879. The next prime is 368282881. The reversal of 368282880 is 88282863.

368282880 is a `hidden beast` number, since 368 + 2 + 8 + 288 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (368282879) and next prime (368282881).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368282881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78357 + ... + 82923.

Almost surely, 2^368282880 is an apocalyptic number.

368282880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 368282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728285376).

368282880 is an abundant number, since it is smaller than the sum of its proper divisors (1088287872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

368282880 is a wasteful number, since it uses less digits than its factorization.

368282880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4584 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 368282880 is about 19190.6977465646. The cubic root of 368282880 is about 716.7931453958.

The spelling of 368282880 in words is "three hundred sixty-eight million, two hundred eighty-two thousand, eight hundred eighty".